From these parameter posterior distributions, we plot the extracted \(\hat{q}/T^3\) 
as a function of the medium temperature \(T\)  and parton momentum \(p\)  in Fig. REF .
We plot the the prior distributions of \(\hat{q}/T^3\)  in the insets of Fig. REF ,
which demonstrate that the data provide considerable constraints on the value of \(\hat{q}\) .
We find a generally weak dependence on both \(T\)  and \(p\) ,
consistent with earlier work by the JET Collaboration.[1]}
The values of \(\hat{q}\)  are similar between the different models considered, although
with notably smaller central values in the multi-stage MATTER+LBT model,
due to the fact that quenching is performed over a wider range of parton virtualities
in the multi-stage model than in MATTER or LBT alone.
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